Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras

Details Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras Nonmeromorphic operator product expansion and C_2-cofiniteness for a family of W-algebras

2005-08-08

arxiv.org/abs/math-ph/0508015v2

J.Phys. A39 (2006) 951-966

Physics

Mathematical Physics

21 pages, to appear in J. Phys. A: Math. Gen.; the exposition is improved and one reference is added

Scientific paper

10.1088/0305-4470/39/4/015

We prove the existence and associativity of the nonmeromorphic operator
product expansion for an infinite family of vertex operator algebras, the
triplet W-algebras, using results from P(z)-tensor product theory. While doing
this, we also show that all these vertex operator algebras are C_2-cofinite.

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